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Finding the Fourth Proportional to 107.29, 159.93 and 106.07

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Solution

The fourth proportional to 107.29, 159.93 and 106.07 is: 158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.29 : 159.93 = 106.07 : x
  2. Step 2: Convert to fraction form
    107.29/159.93 = 106.07/x
  3. Step 3: Cross multiply
    107.29x = 159.93 × 106.07
  4. Step 4: Simplify right side
    107.29x = 16,963.88
  5. Step 5: Solve for x
    x = 16,963.88/107.29
  6. Step 6: Final answer
    x = 158.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.